Question

I NEED HELP ASAP

The WBZ TV tower in Needham is almost 1300 ft. tall. One of the guy wires is 1385.6 feet long. It is attached to the tower 1200 ft. above the ground and is anchored to the ground. How far from the base of the tv tower is the guy wire attached to the ground?

Please give proof on how to get the answer

Answer 1

Answer: Approximately 692.739027 feet

Round this value however needed.

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Step-by-step explanation

The info about the tower being almost 1300 ft tall is not used here. It was put there as a distraction.

Draw a right triangle with vertical leg 1200 and hypotenuse 1385.6

Use the pythagorean theorem to find the missing horizontal leg.

`a^2 + b^2 = c^2\\\\b = √(c^2-a^2)\\\\b = √((1385.6)^2-1200^2)\\\\b = √(479887.36)\\\\b \approx 692.739027\\\\`